Category:Honeycombs (geometry)

**honeycomb**
	tiling of 3-or-more dimensional Euclidean or hyperbolic space
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Subclass of	tessellation;
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English: In geometry, a honeycomb is a space filling or close packing of polyhedral or higher-dimensional cells, so that there are no gaps. It is an example of the more general mathematical tiling or tessellation in any number of dimensions. Honeycombs are usually constructed in ordinary Euclidean ("flat") space. They may also be constructed in non-Euclidean spaces, such as hyperbolic honeycombs. Any finite uniform polytope can be projected to its circumsphere to form a uniform honeycomb in spherical space.

Русский: В геометрии сотами называют заполнение пространства или плотную упаковку многогранников или ячеек высшей размерности без зазоров. Соты — пример более общего математического понятия замощение. Обычно рассматриваются соты в «плоском» евклидовом пространстве. Можно также строить соты в неевклидовых пространствах, например, в гиперболической геометрии Лобачевского. Путём проецирования политопа на описанную около него гиперсферу можно получить соты в сферическом пространстве.

Subcategories

This category has the following 4 subcategories, out of 4 total.

Media in category "Honeycombs (geometry)"

The following 27 files are in this category, out of 27 total.

(20240728) Utrecht 13.jpg 4,096 × 3,072; 2.47 MB
3 pieces of wallpapers and some symmetry centers FR.svg 987 × 610; 5 KB
3 pieces of wallpapers and some symmetry centers.svg 987 × 610; 5 KB
A composition of translations that leave a wallpaper unchanged.svg 987 × 610; 5 KB
A rotation as composition of two reflections on wallpapers.svg 600 × 600; 5 KB
Academ Periodic tiling where eighteen triangles encircle each hexagon.svg 600 × 600; 1 KB
Birds maybe on a wallpaper built from equilateral triangles.svg 600 × 600; 1 KB
Birds on identical tiles edge-to-edge like puzzle pieces Non-periodic tiling.svg 600 × 600; 2 KB
Birds on wallpaper in 4 colours from equilateral triangles.svg 600 × 600; 1 KB
Birds on wallpapers and some centers of rotational symmetries FR.svg 987 × 610; 7 KB
Birds on wallpapers and some centers of rotational symmetries.svg 987 × 610; 7 KB
Cantitruncated cubic honeycomb.jpg 200 × 200; 16 KB
COP26 Behind the Scenes (cop26 0189) (51647265626).jpg 5,568 × 3,712; 13.35 MB
H3 337 UHS plane at infinity.png 744 × 744; 459 KB
H3 338 UHS plane at infinity.png 720 × 720; 343 KB
H3 339 UHS plane at infinity.png 720 × 720; 311 KB
H3 33inf UHS plane at infinity.png 864 × 720; 378 KB
Hexagonal and triangular tiles in honeycombs.svg 987 × 610; 1 KB
Order-4 square hosohedral honeycomb-sphere.png 640 × 662; 233 KB
Order-4 square hosohedral honeycomb-stereographic.png 1,115 × 775; 60 KB
Order-4 square hosohedral honeycomb-stereographic2.png 1,209 × 891; 88 KB
Order-6 triangular hosohedral honeycomb.png 885 × 894; 84 KB
Order-6 triangular hosohedral honeycomb2.png 1,196 × 842; 181 KB
Rhombitrihexagonal tiling snub edge coloring nonuniform.png 596 × 595; 23 KB
THz measurement of sandwich honeycomb structure with debond between skin and adhesive sheet.png 1,938 × 878; 1.15 MB
Trigonal trapezohedral honeycomb.png 231 × 186; 42 KB
Wallpaper group-cmm-1.jpg 1,528 × 1,528; 928 KB

Category:Honeycombs (geometry)

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Media in category "Honeycombs (geometry)"

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